Linear Water Waves: A Mathematical Approach - Hardcover

Kuznetsov, N.; Maz'ya, V.; Vainberg, B.

Hardcover

ISBN 10: 0521808537 ISBN 13: 9780521808538

Publisher: Cambridge University Press, 2002

Synopsis

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

About this title

Book Description:

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics.Linear Water Waves will serve as an ideal reference for those working in fluid mechanics, applied mathematics, and engineering.

Review:

"This work provides a self-contained and up-to-date...reference for those working in fluid mechanics and engineering." Mechanical Engineering

About this edition

• Publisher: Cambridge University Press
• Publication date: 2002
• ISBN 10: 0521808537
• ISBN 13: 9780521808538
• Binding: Hardcover
• Edition number: 1
• Number of pages: 532